Normal Impact of an Infinite Elastic-Plastic Beam by a Semi-Infinite Elastic Rod.
Technical rept. Feb 70-Mar 71,
BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
Pagination or Media Count:
Solutions are obtained for the problem of normal impact of an infinite elastic-plastic beam by a semi-infinite elastic rod. The effects of rotatory inertia and shear deformations are included in the equations governing the motion of the beam. A strain rate independent model based on concepts similar to those employed in quasi-static plasticity is used to describe material behavior. The interaction between moment and shear force is included. A strain hardening criterion is used based on the quasi-static moment-curvature relation for pure bending. Strain-time profiles computed using this theory agree reasonably well with those obtained in experiments on aluminum beams. The computed solutions are also compared with predictions based on a rigid perfectly plastic beam theory. Author